SHANNON ENTROPY IN ORDER STATISTICS AND THEIR CONCOMITANS FROM BIVARIATE NORMAL DISTRIBUTION

In this paper, we derive rst some results on the Shannon entropyin order statistics and their concomitants arising from a sequence of f(Xi; Yi): i = 1; 2; :::g independent and identically distributed (iid) random variablesfrom the bivariate normal distribution and extend our results to a collectionC(X; Y ) = f(Xr1:n; Y[r1:n]); (Xr2:n; Y[r2:n]); :::; (Xrk:n; Y[rk:n])g of order sta-tistics and their concomitants. We nally compute the value of the Shannonentropy in order statistics and their concomitants from a bivariate normaldistribution.

Keywords:

Bivariate Normal Distribution , Concomitants of Order Statistics , Shan- non Entropy